Critical surface band gap of repulsive Casimir interaction between three dimensional topological insulators at finite temperature

Abstract

We generalize the calculation of Casimir interaction between topological insulators with opposite topological magnetoelectric polarizabilities and finite surface band gaps to finite Temperature cases. We find that finite temperature quantitatively depress the repulsive peak and enlarge the critical surface gap $m_c$ for repulsive Casimir force. However the universal property $m_{c}a\sim 1/2$ is still valid for various oscillation strength, temperature region and topological magnetoelectric polarizabilities.

7 pages, 4 figures

References in corpus (15)

• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Topological Insulators with Inversion Symmetry
• Discovery (theoretical prediction and experimental observation) of a large-gap topological-insulator class with spin-polarized single-Dirac-cone on the surface
• A topological Dirac insulator in a quantum spin Hall phase : Experimental observation of first strong topological insulator
• Topological Field Theory of Time-Reversal Invariant Insulators
• Finite temperature Casimir effect for graphene
• Direct Evidence for the Dirac-Cone Topological Surface States in Ternary Chalcogenide TlBiSe2
• Observation of Single Dirac Cone Topological Surface State in Compounds TlBiTe2 and TlBiSe2 from a New Topological Insulator Family
• Tunable Casimir repulsion with three dimensional topological insulators
• Surface-edge state and half quantized Hall conductance in topological insulators
• Electric-Magnetic Duality and Topological Insulators
• Effect of finite temperature and uniaxial anisotropy on the Casimir effect with three-dimensional topological insulators
• Far infrared cyclotron resonance and Faraday effect in Bi2Se3
• Repulsive Casimir forces with finite-thickness slabs
• Casimir interaction between topological insulators with finite surface band gap

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• Modification of transition radiation by three-dimensional topological insulators
• Casimir interaction of two dielectric half spaces with Chern-Simons boundary layers
• Van der Waals torque and force between anisotropic topological insulator slabs
• Dynamics of a Rydberg hydrogen atom near a topologically insulating surface
• Optical intersubband properties of a core-shell semiconductor-topological insulator quantum dot described by $\theta$-Electrodynamics
• Vavilov-Cherenkov radiation for parallel motion in three-dimensional topological insulators
• On the (im)possibility of Casimir repulsion between Chern-Simons surfaces
• Casimir-Polder interaction with Chern-Simons boundary layers